What is the Least Common Multiple of 63646 and 63659?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 63646 and 63659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63646 and 63659, than apply into the LCM equation.

GCF(63646,63659) = 1
LCM(63646,63659) = ( 63646 × 63659) / 1
LCM(63646,63659) = 4051640714 / 1
LCM(63646,63659) = 4051640714

Least Common Multiple (LCM) of 63646 and 63659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63646 and 63659. First we will calculate the prime factors of 63646 and 63659.

Prime Factorization of 63646

Prime Factorization of 63659

Now multiplying the highest exponent prime factors to calculate the LCM of 63646 and 63659.

LCM(63646,63659) = 2¹ × 11² × 263¹ × 63659¹
LCM(63646,63659) = 4051640714